You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up, the ratio of heads up to tails up is 1 to 1.5

How many coins are tails up?
How many coins in all?

Question

You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up, the ratio of heads up to tails up is 1 to 1.5

How many coins are tails up?
How many coins in all?

jim_thompson5910 · Answer

Let x = # of coins you're adding that are tails up

the initial fraction of heads to tails is 

16/18

if you add in x more coins that are tails up, then you get

16/(18+x)

This fraction is equal to 1/1.5, which means

16/(18+x) = 1/1.5

anonymous · Answer

Whoops, read the question wrong... Amendment:

h = heads-up coins
t = tails-up coins

h/t = 16/18 at first
then:
h/t = 1/1.5 = 16/x

=> 2/3 = 16/x

Solve for x.

anonymous · Answer

How many total coins

jim_thompson5910 · Answer

There will be 16+18+x total coins

jim_thompson5910 · Answer

after you solve 16/(18+x) = 1/1.5 for x, you use it to evaluate 16+18+x to get the total